ODDIY SONLI USULLARDA MODELLASHTIRISH: NAZARIYA VA AMALIYOT

Read full text
Authors: Gadoymurodova Zebarsho, Worldly Knowledge Publishing Centre
Cited by: 0

Abstract

Ushbu ilmiy maqolada oddiy differensial tenglamalarni (ODT) sonli yechishning asosiy usullari tadqiq etiladi. Maqolada Eyler, Runge-Kutta va ko‘p qadamli Adams usullarining matematik apparati, yaqinlashish tartibi va turg‘unlik sohalari tahlil qilingan. Shuningdek, zamonaviy kompyuter modellashtirishda algoritmlarning xatoliklar drayfi, qadam adaptatsiyasi va hisoblash samaradorligi masalalari yoritilgan. Tadqiqotda real hayotiy vazifalarga oid misollar va eksperimental natijalar keltirilib, sonli yechimlarning aniqligi va barqarorligini oshirish bo‘yicha tavsiyalar berilgan. Natijalar ilmiy va amaliy sohalarda, jumladan muhandislik, fizika va iqtisodiy modellashtirishda ODT yechimlarini optimallashtirishda foydali bo‘lishi mumkin.

Fields of Study & Subjects

Numerical methods for differential equations Mathematical and Computational Methods Differential Equations and Numerical Methods

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
19 January 2026
Document type
Dataset